The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x=5 wins (b) x=10 wins (c) x=21 wins (d) x=15 wins Wins, x Earned run average, y 20 2.71 18 3.31 17 2.62 16 3.82 14 3.95 12 4.43 11 3.73 9 5.03 Then construct a scatter plot of the data and draw the regression line. (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y=nothing (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=5 is well outside the range of the original data. This is the correct answer. (b) Predict the ERA for 10 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=10 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=10 is inside the range of the original data. (c) Predict the ERA for 21 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=21 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=21 is well outside the range of the original data. (d) Predict the ERA for 15 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=15 is inside the range of the original data. C. It is not meaningful to predict this value of y because x=15 is not an x-value in the original data.

The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x=5 wins (b) x=10 wins (c) x=21 wins (d) x=15 wins Wins, x Earned run average, y 20 2.71 18 3.31 17 2.62 16 3.82 14 3.95 12 4.43 11 3.73 9 5.03 Then construct a scatter plot of the data and draw the regression line. (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y=nothing (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=5 is well outside the range of the original data. This is the correct answer. (b) Predict the ERA for 10 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=10 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=10 is inside the range of the original data. (c) Predict the ERA for 21 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=21 is not an x-value in the original data. Your answer is not correct. C. It is not meaningful to predict this value of y because x=21 is well outside the range of the original data. (d) Predict the ERA for 15 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. fill Y= if necessary A. y= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=15 is inside the range of the original data. C. It is not meaningful to predict this value of y because x=15 is not an x-value in the original data.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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Question

The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for

eight

baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.

(a)

x=5

wins

(b)

x=10

wins

(c)

x=21

wins

(d)

x=15

wins

Wins, x Earned run average, y
20 2.71
18 3.31
17 2.62
16 3.82
14 3.95
12 4.43
11 3.73
9 5.03

Then construct a scatter plot of the data and draw the regression line.

(a) Predict the ERA for

wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice.

fill Y= if necessary

y=nothing

(Round to two decimal places as needed.)

It is not meaningful to predict this value of y because

x=5

is not an x-value in the original data.

Your answer is not correct.

It is not meaningful to predict this value of y because

x=5

is well outside the range of the original data.

This is the correct answer.

(b) Predict the ERA for 10 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice.

fill Y= if necessary

(Round to two decimal places as needed.)

It is not meaningful to predict this value of y because

x=10

is not an x-value in the original data.

Your answer is not correct.

It is not meaningful to predict this value of y because

x=10

is inside the range of the original data.

(c) Predict the ERA for 21 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice.

fill Y= if necessary

(Round to two decimal places as needed.)

It is not meaningful to predict this value of y because

x=21

is not an x-value in the original data.

Your answer is not correct.

It is not meaningful to predict this value of y because

x=21

is well outside the range of the original data.

(d) Predict the ERA for 15 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice.

fill Y= if necessary

(Round to two decimal places as needed.)

It is not meaningful to predict this value of y because

x=15

is inside the range of the original data.

It is not meaningful to predict this value of y because

x=15

is not an x-value in the original data.

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